Rank one chaos in switch-controlled Murali-lakshmanan-chua circuit

Ali Oksasoglu, Dongsheng Ma, Qiudong Wang

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

In this paper, we investigate the creation of strange attractors in a switch-controlled MLC (Murali-Lakshmanan-Chua) circuit. The design and use of this circuit is motivated by a recent mathematical theory of rank one attractors developed by Wang and Young. Strange attractors are created by periodically kicking a weakly stable limit cycle emerging from the center of a supercritical Hopf bifurcation, and are found in numerical simulations by following a recipe-like algorithm. Rigorous conditions for chaos are derived and various switch control schemes, such as synchronous, asynchronous, single-, and multi-pulse, are investigated in numerical simulations.

Original languageEnglish (US)
Pages (from-to)3207-3224
Number of pages18
JournalInternational Journal of Bifurcation and Chaos
Volume16
Issue number11
DOIs
StatePublished - Nov 2006

Keywords

  • Rank-one chaos
  • Strange attractors
  • Switch-controlled circuits

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

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